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Function example: Counting primes (Screencast 6.1.4)
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Prime Numbers 1-1000 | Maths Reasoning | Math Tricks | Math Formulas #education #maths #learningisfun #mathtricks #mathstricks #mathsformula #learningeveryday #reasoning #feeds #reelsforyou #explore #foryou #fbreels | Xtra Math Tricks
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Part 4: I discuss the connection between the zeros of the Riemann zeta function and the distribution of prime numbers. The zeros control the oscillations of the prime counting function, $\\pi(x)$. The prime counting function is roughly approximated by $li(x)$, which is the logarithmic integral and is basically the number one would expect. The difference between $\\pi(x)$ and $li(x)$ contributes a term like $\\cos(t \\log x)$. We note that if Riemann Hypothesis is true, prime numbers are spread s
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